Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(5 - -6\right)}^{2} + \left(-6 - 4\right)\left(-6 - -3\right) $$
Correct Answer
$$ 151$$ or 151.000

2. Simplify 2

Simplify the following expression: $$ 2\frac{2}{-6} - \left(-1 - -6\right)\left(3 + 6\right) $$
Correct Answer
$$ \frac{-137}{3}$$ or -45.6667

3. Fractions 1

Simplify the following expression: $$ \frac{-6}{6} - \frac{-4}{3} $$
Correct Answer
$$ \frac{1}{3}$$ or 0.33333333333333326

4. Fractions 2

Simplify the following expression: $$ \frac{3}{2}\frac{2}{3} $$
Correct Answer
$$ 1$$ or 1.0

5. Significant figures

1. Write the following to 4 significant figures: 0.099936779
Correct Answer
0.09994 or $$9.994\times10^{-2}$$
2. Write the following to 2 significant figures: 0.024552486
Correct Answer
0.025 or $$2.5\times10^{-2}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 16664.9
Correct Answer
$$1.67\times10^{4}$$
2. Write the following in standard form to 2 significant digits: 0.00000139751
Correct Answer
$$1.4\times10^{-6}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.340477
Correct Answer
$$340.48\times10^{-3}$$
2. Write the following in preferred standard form to 2 significant digits: 0.0000629
Correct Answer
$$63\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ \frac{-3 + -2}{-3(-4)} - {\left(-5 - 4\right)}^{2} $$
Correct Answer
$$ \frac{-977}{12}$$ or -81.4167

9. Simplify 1

Simplify the following expression: $$ \left(-2 - -1 + -2 - -5\right)2\times2\times4 $$
Correct Answer
$$ 32$$ or 32.0000

10. Simplify 2

Simplify the following expression: $$ \frac{5 - 4}{-3 - -2} - {\left(-4 - 5\right)}^{2} $$
Correct Answer
$$ -82$$ or -82.0000


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